command vs order

command and order both are nouns.

Word	Noun	Adjective	Verb	Adverb
command	Yes	No	Yes	No
order	Yes	No	Yes	No

As nouns, order is a hyponym of command; that is, order is a word with a more specific, narrower meaning than command:

command: an authoritative direction or instruction to do something
order: (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed

Other hyponyms of command include countermand, charge, commission, direction, commandment, injunction, behest, open sesame.

As verbs, order is a hypernym of command; that is, order is a word with a broader meaning than command:

command: make someone do something
order: give instructions to or direct somebody to do something with authority

Other hypernyms of command include enjoin, say, tell.

command (noun)	order (noun)
the power or authority to command	the act of putting things in a sequential arrangement
availability for use	(architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
great skillfulness and knowledge of some subject or activity	a degree in a continuum of size or quantity
an authoritative direction or instruction to do something	a legally binding command or decision entered on the court record (as if issued by a court or judge)
(computer science) a line of code written as part of a computer program	a commercial document used to request someone to supply something in return for payment and providing specifications and quantities
a military unit or region under the control of a single officer	a body of rules followed by an assembly
a position of highest authority	(often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed
	a request for something to be made, supplied, or served
	logical or comprehensible arrangement of separate elements
	(biology) taxonomic group containing one or more families
	a formal association of people with similar interests
	a group of person living under a religious rule
	established customary state (especially of society)
	a condition of regular or proper arrangement

command (verb)	order (verb)
make someone do something	bring order to or into
be in command of	place in a certain order
demand as one's due	assign a rank or rating to
exercise authoritative control or power over	arrange thoughts, ideas, temporal events
look down on	make a request for something
	give instructions to or direct somebody to do something with authority
	issue commands or orders for
	bring into conformity with rules or principles or usage; impose regulations
	appoint to a clerical posts